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4 years ago

What is the volume of a right circular cylinder with a diameter of 46.25 cm and a height of 18.5 cm?

1 answer:

7 0

Radius = 23.125 cm
Cylinder Volume = π • r² • height

Cylinder Volume = 3.14 * 23.125^2 * 18.5

Cylinder Volume = 31,064.53515625 

Cylinder Volume = 31,064.54 cubic centimeters

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How do I solve this equation and check the solutions?

IgorLugansk [536]

<h3>SOLUTION :-</h3>

By squaring on both sides :

$: \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\$

$:\implies \sf {20 - 8x} = {x}^{2} \\ \\$

Solving quadratic equation :

$: \implies\sf{ {x}^{2} + 8x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + (10 - 2)x - 20 = 0 } \\ \\$

$: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\$

$: \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\$

$:\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\$

$: \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\$

$: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\$

$: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}$

$\huge {\therefore}$ The roots of this equation are -10 and 2.

3 0

3 years ago

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Lynna [10]

The answer is 5,12,13 as when you plug these into the Pythagorean theorem :
5^2 + 12^2 = 13^2
25 + 144 = 169
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Hope this helps :)

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Maslowich

Answer:

A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.

Step-by-step explanation:

Hope this helps:)

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trasher [3.6K]

The constant potion contains no variables ( no 'x')

So its 16

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